Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, A

Average Error: 0.1 → 0.1

Time: 5.1s

Precision: 64

Math

\[x - \frac{3}{8} \cdot y\]

↓

\[x - \frac{3}{8} \cdot y\]

C

double f(double x, double y) {
        double r203186 = x;
        double r203187 = 3.0;
        double r203188 = 8.0;
        double r203189 = r203187 / r203188;
        double r203190 = y;
        double r203191 = r203189 * r203190;
        double r203192 = r203186 - r203191;
        return r203192;
}

↓

double f(double x, double y) {
        double r203193 = x;
        double r203194 = 3.0;
        double r203195 = 8.0;
        double r203196 = r203194 / r203195;
        double r203197 = y;
        double r203198 = r203196 * r203197;
        double r203199 = r203193 - r203198;
        return r203199;
}

Error

Bits error versus x

Bits error versus y

Derivation

1. Initial program 0.1

   \[x - \frac{3}{8} \cdot y\]

2. Final simplification 0.1

   \[\leadsto x - \frac{3}{8} \cdot y\]

Reproduce

herbie shell --seed 2020001 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (/ 3 8) y)))